Log‐concave and concave distributions in reliability

Nonparametric classes of life distributions are usually based on the pattern of aging in some sense. The common parametric families of life distributions also feature monotone aging. In this paper we consider the class of log‐concave distributions and the subclass of concave distributions. The work is motivated by the fact that most of the common parametric models of life distributions (including Weibull, Gamma, log‐normal, Pareto, and Gompertz distributions) are log‐concave, while the remaining life of maintained and old units tend to have a concave distribution. The classes of concave and log‐concave distributions do not feature monotone aging. Nevertheless, these two classes are shown to have several interesting and useful properties. We examine the closure of these classes under a number of reliability operations, and provide sharp reliability bounds for nonmaintained and maintained units having life distribution belonging to these classes. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 419–433, 1999     

以太网交换机仿真与验证

叙述了以太网交换机的结构、端口缓存交换策略,从排队论出发建立仿真模型和仿真流程,按数理统计原理用t函数进行均值假设检验,验证仿真模型及流程的可信度。文章叙述以太网交换机仿真模型与算法对进行计算机网络仿真有参考价值。     

一种新的对潜应召搜索法及其效能分析

论述了一种新的对潜应召搜索法 ,并对其效能进行了分析 ,同时就平均发现概率、搜索时间、转向次数三个指标与海军现在使用的扩展方阵搜索法进行了仿真比较     

A search game with a protector

A classic problem in Search Theory is one in which a searcher allocates resources to the points of the integer interval [1, n] in an attempt to find an object which has been hidden in them using a known probability function. In this paper we consider a modification of this problem in which there is a protector who can also allocate resources to the points; allocating these resources makes it more difficult for the searcher to find an object. We model the situation as a two‐person non‐zero‐sum game so that we can take into account the fact that using resources can be costly. It is shown that this game has a unique Nash equilibrium when the searcher's probability of finding an object located at point i is of the form (1 − exp (−λ_ix_i)) exp (−μ_iy_i) when the searcher and protector allocate resources x_i and y_i respectively to point i. An algorithm to find this Nash equilibrium is given. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47:85–96, 2000     

空间应急飞行器姿态快速机动控制研究

以空间应急飞行器姿态机动快速控制过程为研究对象,对姿态快速解耦控制问题进行研究.采用决策树理论对时间最优控制和倾斜开关曲线控制这两种控制策略进行综合,以控制时间作为代价函数,获得三通道时间最优控制策略.与其他方法相比,本控制策略控制时间大幅缩短,控制精度满足设计需求.另外对控制器不同控制周期下的控制效果进行仿真比较,对控制器控制周期选择具有指导意义.     

GPS姿态测量系统对惯性导航系统误差修正能力分析

针对惯性导航系统(INS)存在积累误差的缺陷,运用GPS姿态测量辅助修正方法对INS误差进行补偿来进一步提高INS的定位精度.通过对INS系统可观测性进行分析,得出增加不同种类的外部导航信息观测量将有效提高INS误差修正能力的结论.研究了船用INS与GPS姿态测量系统组合的组合导航系统,并对GPS姿态测量系统信息对惯性导航系统的误差修正能力进行了仿真.仿真结果证实上述方法可有效提高INS的定位精度.     

陀螺/星敏感器组合技术在卫星姿态确定系统中的应用

为了满足军用卫星姿态测量高精度的需要,提出了基于状态估计法的陀螺仪和星敏感器组成的卫星姿态测量系统的方案.应用广义卡尔曼进行状态估计,同时为了避免由非线性和小角度引起的计算误差,采用四元数法代替通常的欧拉角法进行计算,经分析得到该系统状态模型和观测模型.通过仿真证明,此方案能达到高精度军用卫星姿态确定系统的要求.     

On the reduction of total‐cost and average‐cost MDPs to discounted MDPs

This article provides conditions under which total‐cost and average‐cost Markov decision processes (MDPs) can be reduced to discounted ones. Results are given for transient total‐cost MDPs with transition rates whose values may be greater than one, as well as for average‐cost MDPs with transition probabilities satisfying the condition that there is a state such that the expected time to reach it is uniformly bounded for all initial states and stationary policies. In particular, these reductions imply sufficient conditions for the validity of optimality equations and the existence of stationary optimal policies for MDPs with undiscounted total cost and average‐cost criteria. When the state and action sets are finite, these reductions lead to linear programming formulations and complexity estimates for MDPs under the aforementioned criteria.© 2017 Wiley Periodicals, Inc. Naval Research Logistics 66:38–56, 2019     

Stability in a general oligopoly model

We analyze a general but parsimonious price competition model for an oligopoly in which each firm offers any number of products. The demand volumes are general piecewise affine functions of the full price vector, generated as the “regular” extension of a base set of affine functions. The model specifies a product assortment, along with their prices and demand volumes, in contrast to most commonly used demand models. We identify a fully best response operator which is monotonically increasing so that the market converges to a Nash equilibrium, when firms dynamically adjust their prices, as best responses to their competitors' prices, at least when starting in one of two price regions. Moreover, geometrically fast convergence to a common equilibrium can be guaranteed for an arbitrary starting point, under an additional condition for the price sensitivity matrix.     

双层气囊隔振装置多目标协同姿态控制方法

针对双层气囊隔振装置高精度姿态平衡控制需求,提出多目标协同姿态控制方法。通过建立双层隔振装置动力学模型、充放气控制等效作用力模型,建立了控制响应特性分析模型。并基于多目标满意优化方法建立了多目标协同姿态控制方法,使得双层气囊隔振装置能够较好地适应上下层气囊隔振装置姿态耦合,实现姿态平衡控制,并可有效抑制结构弹性变形对姿态平衡控制的影响。在双层气囊隔振装置上验证了该控制方法的可行性。该方法将用于某型船舶大型发电机组双层气囊隔振系统,实现双层气囊隔振装置柔性支撑状态下的姿态平衡控制。